Information on Result #599248
There is no digital (78, 231, 247)-net over F3, because extracting embedded orthogonal array would yield linear OA(3231, 247, F3, 153) (dual of [247, 16, 154]-code), but
- residual code [i] would yield OA(378, 93, S3, 51), but
- the linear programming bound shows that M ≥ 2117 985825 855951 548682 979121 686352 501183 391624 / 117 447583 > 378 [i]
Mode: Bound (linear).
Optimality
Show details for fixed k and m, k and s, k and t, m and s, m and t, t and s.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | No digital (78, 232, 247)-net over F3 | [i] | m-Reduction | |
| 2 | No digital (78, 233, 247)-net over F3 | [i] | ||